Question

Lucy and Kylie both spy a drone in the sky. Lucy is 16 feet away from the drone with an angle of elevation of 34° from her to the drone. Kylie is 24 feet away from the drone. What is the angle of elevation from Kylie to the drone.

Answer 1

The information can be shown in the diagram below:

Using the law of sine it follows:

`(\sin34)/(24)=(\sin K)/(16)`

This gives

`\begin{gathered} 24*\sin K=16*\sin 34 \\ \sin K=(16*\sin 34)/(24) \end{gathered}`

Solve the equation for K

`\begin{gathered} \sin K=(16*0.5592)/(24) \\ \sin K=(8.9472)/(24) \\ \sin K=0.3728 \\ K=\sin ^(-1)(0.3728) \\ K=21.88^(\circ) \end{gathered}`

Therefore, the angle of elevation from Kylie is 21.88°